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## Main Question or Discussion Point

How to integrate: x / (1+x)

- Thread starter jasmaster35
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How to integrate: x / (1+x)

- #2

cepheid

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"By parts" would be my first stab at it

- #3

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If you got rid of the [itex] x [/itex] on the top it might make your life easier right?

[tex] \frac{x}{1+x} [/tex]

[tex] \frac{x}{1+x} - \frac{1+x}{1+x} = \frac{-1}{1+x} [/tex]

[tex] \frac{x}{1+x}=\frac{-1}{1+x}+\frac{1+x}{1+x} [/tex]

[tex] \frac{x}{1+x} = \frac{1+x}{1+x} - \frac{1}{1+x} [/tex]

[tex] \frac{x}{1+x} = 1 - \frac{1}{1+x} [/tex]

Obviously you don't have to do that in as many steps.

- #4

radou

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Use the substitution 1 + x = t.How to integrate: x / (1+x)

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